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Finding the Third Proportional to 37,127.25 and 49,231.13

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Solution

The third proportional to 37,127.25 and 49,231.13 is: 65,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127.25 : 49,231.13 = 49,231.13 : x
  2. Step 2: Convert to fraction form
    37,127.25/49,231.13 = 49,231.13/x
  3. Step 3: Cross multiply
    37,127.25x = 49,231.13 × 49,231.13
  4. Step 4: Simplify right side
    37,127.25x = 2,423,703,668.77
  5. Step 5: Solve for x
    x = 2,423,703,668.77/37,127.25
  6. Step 6: Final answer
    x = 65,280.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.